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212211420 = 22354637639
BaseRepresentation
bin11001010011000…
…01011011011100
3112210022110100020
430221201123130
5413311231140
633020232140
75154524121
oct1451413334
9483273306
10212211420
11a9873643
125b09b650
1334c715b5
1420280748
151396c6d0
hexca616dc

212211420 has 48 divisors (see below), whose sum is σ = 595553280. Its totient is φ = 56460096.

The previous prime is 212211397. The next prime is 212211421. The reversal of 212211420 is 24112212.

212211420 = T159 + T160 + ... + T1084.

212211420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212211420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212211421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23961 + ... + 31599.

It is an arithmetic number, because the mean of its divisors is an integer number (12407360).

Almost surely, 2212211420 is an apocalyptic number.

212211420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212211420 is an abundant number, since it is smaller than the sum of its proper divisors (383341860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212211420 is a wasteful number, since it uses less digits than its factorization.

212211420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8114 (or 8112 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212211420 is about 14567.4781619881. The cubic root of 212211420 is about 596.4713438811.

Adding to 212211420 its reverse (24112212), we get a palindrome (236323632).

The spelling of 212211420 in words is "two hundred twelve million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 463 926 1389 1852 2315 2778 4630 5556 6945 7639 9260 13890 15278 22917 27780 30556 38195 45834 76390 91668 114585 152780 229170 458340 3536857 7073714 10610571 14147428 17684285 21221142 35368570 42442284 53052855 70737140 106105710 212211420